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%I #9 Sep 13 2015 07:43:25
%S 0,1,8,1000,8000,474552,1000000,1643032,8000000,13312053,27818127,
%T 125751501,474552000,1000000000,1015075125,1121622319,1256216039,
%U 1501123625,1643032000,3811036328,8000000000,11000295424,13312053000
%N Cubes with the property that the sum of the cubes of the digits is also a cube.
%C It is known (Murthy 2001) that the sequence is infinite. (1) The number {3(10^(k+2)+1)}^3 for all k produces such numbers. (2) Less trivially, {10^(n+2) - 4}^3 is a member of this sequence for n = 4*{(10^(3k)-1)/27}-1, for all k, for which the sum of the cubes of the digits is {6*10^k}^3.
%D Amarnath Murthy, Smarandache Fermat Additive Cubic Sequence, 2011. (To be published in the Smarandache Notions Journal.)
%e 474552 = 78^3 is a term since 4^3+7^3+4^3+5^3+5^3+2^3 = 729 = 9^3.
%t Select[Range[0,2500]^3,IntegerQ[Total[IntegerDigits[#]^3]^(1/3)]&] (* _Harvey P. Dale_, Jun 03 2012 *)
%K nonn,base
%O 1,3
%A _Amarnath Murthy_, Apr 21 2001
%E Corrected and extended by _Gaurav Kumar_, Aug 29 2009
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